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Finding the Fourth Proportional to 24,314.57, 36,471.82 and 9,513.10

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Solution

The fourth proportional to 24,314.57, 36,471.82 and 9,513.10 is: 14,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.57 : 36,471.82 = 9,513.10 : x
  2. Step 2: Convert to fraction form
    24,314.57/36,471.82 = 9,513.10/x
  3. Step 3: Cross multiply
    24,314.57x = 36,471.82 × 9,513.10
  4. Step 4: Simplify right side
    24,314.57x = 346,960,070.84
  5. Step 5: Solve for x
    x = 346,960,070.84/24,314.57
  6. Step 6: Final answer
    x = 14,269.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.